Search a number
-
+
220220020021200 = 243521391361970069
BaseRepresentation
bin110010000100100111111000…
…000100001101011111010000
31001212201211100211120200220020
4302010213320010031133100
5212331041100111134300
62100211403000143440
764246241250555243
oct6204477004153720
91055654324520806
10220220020021200
11641948711a5851
1220848147167b80
1395b5874459674
143c549c4b7b25a
151a6d664c6c8a0
hexc849f810d7d0

220220020021200 has 240 divisors, whose sum is σ = 711036010574400. Its totient is φ = 58259955916800.

The previous prime is 220220020021189. The next prime is 220220020021201. The reversal of 220220020021200 is 2120020022022.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 220220020021200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220220020021201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226529766 + ... + 227499834.

It is an arithmetic number, because the mean of its divisors is an integer number (2962650044060).

Almost surely, 2220220020021200 is an apocalyptic number.

220220020021200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220220020021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355518005287200).

220220020021200 is an abundant number, since it is smaller than the sum of its proper divisors (490815990553200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220220020021200 is a wasteful number, since it uses less digits than its factorization.

220220020021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971590 (or 971579 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 220220020021200 its reverse (2120020022022), we get a palindrome (222340040043222).

The spelling of 220220020021200 in words is "two hundred twenty trillion, two hundred twenty billion, twenty million, twenty-one thousand, two hundred".